Answer:
$3
Step-by-step explanation:
Let the cost of a book and a pen be $b and $p respectively.
3b +2p= 8 -----(1)
5b +3p= 13 -----(2)
(1) ×3:
9b +6p= 24 -----(3)
(2) ×2:
10b +6p= 26 -----(4)
(4) -(3):
10b +6p -(9b +6p)= 26 -24
Expand:
10b +6p -9b -6p= 2
b= 2
Substitute b= 2 into (1):
3(2) +2p=8
6 +2p= 8
2p= 8 -6
2p= 2
p= 2 ÷2
p= 1
Total cost of one book and one pen
= $b +$p
= $2 +$1
= $3
